Answer:
c ≈ 5.83095189485
Step-by-step explanation:
We can use the Pythagorean Theorem [tex](a^{2} +b^{2} =c^{2} )[/tex] for these kinds of problems.
So, pretend that line is the hypotenuse of a right triangle. One side would be
3 units long and another would be 5 units long. Let's plug that into the theorem.
3² + 5² = c²
Simplify.
9 + 25 = c²
Add.
34 = c²
And now square root both sides.
√34 = c
c ≈ 5.83095189485
How many 1/2's are in 3 1/2? *
Answer:
Step-by-step explanation:
7
Answer:
7
Step-by-step explanation:
3.5 divided by .5
Identify the like terms.
7 + 4p - 5 + p + 2y
A: 4p, -5, 2y
B: 4p, p, 2y
C: 7, 5 AND 4p, p
D: 7, -5 AND 4p, p
Answer:
D:7, -5 AND 4p,p
Step-by-step explanation:
B/c like terms are terms with the same variable and exponent.
If it's helpful ❤❤
THANK YOU.
4. Chrissy had 4 gallons of gas in her tank when she arrived at the
gas station. She pumped gas into her car at a rate of 0.3 gallon per
second. How many gallons of gas were in the tank after s seconds?
Lin and Elena have discovered they have so much in common. They each have a fish tank holding 20 units of water. Whose tank holds 20 gallons, and whose holds 20 cups?
Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.
Step-by-step explanation:
Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.
With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
Learn more about prism here:
https://brainly.com/question/12649592
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A spinner is divided into 10 congruent sections. Each section is labeled with a number as shown. The spinner will be spun one time. What is the probability that the arrow will land in a section that is labeled with a number that is a multiple of 2? 1 A U 9 un 6 3 B 1 10 2 09 4 1 1 / 2 UN
Answer:
b
Step-by-step explanation:
The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1/6
Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.
-324/18
Plz show all the steps of how you got the answer.
Answer:
-18
Step-by-step explanation:
Step 1 - divide the numerator and denominator by 18
-324÷18 / 18÷18
Step 2 - divide the numbers
-18 / 18÷18
-18/1
any expression divided by 1 remains the same
-18
Simplify this expression:
6x-8y-5x+3y
Answer:
x-5y
Step-by-step explanation:
Answer:
[tex]x-5y[/tex]
Step-by-step explanation:
[tex]6x-8y-5x+3y[/tex]
[tex]6x-5x-8y+3y[/tex]
[tex]x-5y[/tex]
31
1/20
What is the x-value of the system of equations shown below?
2x + y = 6
y = 3x - 4
3
-2.
2.
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Answer:
x=2
Step-by-step explanation:
First you put the equations in the form of y = mx + b
Then once they are like that it would look like:
y = -2x + 6
y = 3x - 4
So then you can set them equal to each other and it will look like this:
-2x + 6 = 3x - 4
Then you add 2x to both sides and get:
6 = 5x - 4
Next, add 4 to both sides and get:
10 = 5x
So then you will simplify by dividing both sides by 5 and getting:
2 = x
A
B
C
D
I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
ΔCBA ≅ Δ BCD
∠A = ∠D = 90°
BC = CB {hypotenuse and reflexive property}
BA = CD
Lance has 12 boxes of comic books. Each box has 40 comic books in it.
How many comic books does Lance have?
Answer:
480
Step-by-step explanation:
12*4=48 then add a zero to the end of it
hope that helps!
happy new year!
Answer:
Lance has 480 comic books.
Step-by-step explanation:
Multiply 12 by 40:)
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Norma is looking for a job cutting hair. One option is self-employment at The Seaside Salon, where she would pay $534 per month to rent a station and keep all of her earnings. Another option is to work at a franchise, where she would just have to pay the salon $3 for every haircut. If she performed a certain number of haircuts every month, the amount paid to either salon would be the same. How many haircuts would that be? How much would Norma pay?
If Norma performed__________ haircuts in a month, she would pay $____________ to either salon.
Answer:
If Norma performed 178 haircuts in a month, she would pay $534 to either salon
Step-by-step explanation:
Saloon 1:
Cost of saloon 1 = $534
Saloon 2:
Cost of saloon 2 = 3h
Where,
h = number of haircut
Equate the cost of renting either saloon
534 = 3h
h = 534 / 3
h = 178 hair cut
If Norma performed 178 haircuts in a month, she would pay $534 to either salon.
Evaluate (5 + 2) to the power of 2 - 40 + 3 =
Answer:
12
Step-by-step explanation:
(5+2)^2 - 40 + 3
= 7^2 - 40 + 3
= 49 - 40 + 3
= 49 - 40
= 9+3
= 12
Find the value of p and q such that
2x^2 - 4x + 3= 2 (x-p)^2 + q
PLEASE ANSWER!!!
Answer:
The values of p and q such that 2·x² - 4·x + 3 = 2·(x - p)² + q, are;
p = 1, q = 1
Step-by-step explanation:
The given equation are;
2·x² - 4·x + 3 = 2·(x - p)² + q
By expanding the right hand side of the equation, we have;
2·x² - 4·x + 3 = 2·(x - p)² + q = 2·x² - 4·p·x + 2·p² + q
2·x² - 4·x + 3 = 2·x² - 4·p·x + 2·p² + q
Comparing the coefficient of x in both equations, gives;
2·x² + (- 4)·x + 3 = 2·x² + (- 4·p)·x + 2·p² + q
-4 = -4·p
∴ p = -4/(-4) = 1
p = 1
Comparing only the constant terms (terms not multiplied by "x" or "x²"), we get;
3 = 2·p² + q
Substituting the value for "p" obtained above (p = 1 ) in the previous equation, we get;
3 = 2 × 1² + q = 2 + q
∴ q = 3 - 2 = 1
q = 1.
what is the square root of 31
Answer:
5.567764363 or rounded off to two decimal places 5.57
Step-by-step explanation:
Calculator
What number is missing from the table of equivalent ratios?
A. 2
B. 5
C. 7
D. 13
Answer:
Step-by-step explanation:
The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5
Identify the slope in the equation y=-7/3x +5 5 -5 7/3 -7/3
Answer:
-7/3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -7/3x + 5
Step 2: Break Function
Identify Parts
Slope m = -7/3
y-intercept b = 5
what is the value of (f – 9)(144)?
Please help me with the questions please
Answer:
50,373 feet
Step-by-step explanation:
tan 15° = 13500 / x
.268 = 13500 / x
x = 50,373
Given that x is a nonnegative number, a student conjectured that x+3
Which value of x is a counterexample to the student's conjecture?
X= -1/3
X= -3
X= 2
X= 3
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Given
Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)
Required
Which value of x prove the conjecture otherwise
To do this , we simply substitute the values of x in the options
[tex]1.\ x = -\frac{1}{3}[/tex]
This is negative;
So, there is no need to check
[tex]2.\ x = -3[/tex]
This is also negative;
So, there is no need to check
[tex]3.\ x = 2[/tex]
[tex]x + 3 < x^2[/tex]
[tex]2 + 3 < 2^2[/tex]
[tex]5 < 4[/tex]
This value of x is false because 5 is not less than 4
[tex]4.\ x = 3[/tex]
[tex]x + 3 < x^2[/tex]
[tex]3 + 3 < 3^2[/tex]
[tex]6 < 9[/tex]
These two triangles are similar. What is the length of side a and b? Help ASAP pleasee! Look at the screenshot Please, Thank you! :)
Answer:
do you have 12 as an answer?
What is the slope of the line
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
what is the answer to 5--4
Answer:
9
Step-by-step explanation:
if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9
Hi. I need help with this question (see image). Please show workings.
Answer:
[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³
Step-by-step explanation:
Differentiate using the chain rule
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
Here
f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³
g(x) = 2x + 3 ⇒ g'(x) = 2
Thus
[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2
= 8(2x + 3)³
Here is a list of numbers:
4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6
State the mediant
Answer:
median is 3.9
Step-by-step explanation:
You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle
0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6
Solve for n: 2n < 6
Math pls answer this
Answer:
n can be a number less than 3
Step-by-step explanation:
Hope this helps!
Answer:
N<3
Step-by-step explanation:
i don’t know how to do this and it’s due in an hour someone help please
Answer:
912 divided byt he square root of AB to 5^2
Step-by-step explanation:
Answer:
AB to 5^2
Step-by-step explanation:
Flattykawa -_-
The table shows the balance of an account each year.
Years Balance
0 $40
1 $42
2 $44
3 $46
What is the interest rate of the account?
Answer:
+2 each year. 40+(2+y), y being years.
(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP
Answer:
2 k 3 − 3 k 2 − 2 k
Step-by-step explanation:
Answer: ...
2k^3−3k^2−2k